Collective Radiance of Giant Atoms in Non-Markovian Regime

Abstract

We investigate the non-Markovian dynamics of two giant artificial atoms interacting with a continuum of bosonic modes in a one-dimensional (1D) waveguide. Based on the diagrammatic method, we present the exact analytical solutions, which predict the rich phenomena of collective radiance. For the certain collective states, the decay rates are found to be far beyond that predicted in the the Dicke model and standard Markovian framework, which indicates the occurrence of super-superradiance. The superadiance-to-subradiance transition could be realized by adjusting the exchange symmetry of giant atoms. Moreover, there exists multiple bound states in continuum (BICs), with photons/phonons bouncing back and forth in the cavity-like geometries formed by the coupling points. The trapped photons/phonons in the BICs can also be re-released conveniently by changing the energy level splitting of giant atoms. The mechanism relies on the joint effects of the coherent time-delayed feedback and the interference between the coupling points of giant atoms. This work fundamentally broadens the fields of giant atom collective radiance by introducing non-Markovianity. It also paves the way for a clean analytical description of nonlinear open quantum system with more complex retardation.

8 pages, 5 figures + Supplemental Material (15 pages, 3 figures)

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• Floquet Engineering and Harnessing Giant Atoms in Frequency-Comb Emission and Bichromatic Correlations in Waveguide QED
• Giant atom with disorders: Effects from imperfect couplings
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• Giant atoms coupled to waveguide: Continuous coupling and multiple excitations
• Time-delayed collective dynamics in waveguide QED and bosonic quantum networks
• Nonlinear cascaded quantum network with giant emitters
• Oscillating bound states in waveguide-QED system with two giant atoms
• From Superradiance to Superabsorption: An Exact Treatment of Non-Markovian Cooperative Radiation
• Exotic collective behaviors of giant quantum emitters in two-dimensional baths